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Jackknife inference for heteroscedastic linear regression models
Authors:Jun Shao  J N K Rao
Abstract:Inference on the regression parameters in a heteroscedastic linear regression model with replication is considered, using either the ordinary least-squares (OLS) or the weighted least-squares (WLS) estimator. A delete-group jackknife method is shown to produce consistent variance estimators irrespective of within-group correlations, unlike the delete-one jackknife variance estimators or those based on the customary δ-method assuming within-group independence. Finite-sample properties of the delete-group variance estimators and associated confidence intervals are also studied through simulation.
Keywords:Asymptotic consistency  δ  -method  delete-group jackknife  ordinary least squares  weighted least squares  within-group correlations
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